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Complexity_C_Integer 2019-03-21 04.38 pair #429989242
details
property
value
status
complete
benchmark
ChenFlurMukhopadhyay-SAS2012-Ex2.20_true-termination.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n053.star.cs.uiowa.edu
space
Adapted_from_Stroeder_15
run statistics
property
value
solver
AProVE
configuration
c_complexity
runtime (wallclock)
1.88103 seconds
cpu usage
2.81961
user time
2.56566
system time
0.25396
max virtual memory
1.8490032E7
max residence set size
182976.0
stage attributes
key
value
starexec-result
WORST_CASE(?, O(n^1))
output
2.71/1.85 WORST_CASE(?, O(n^1)) 2.71/1.86 proof of /export/starexec/sandbox/output/output_files/bench.koat 2.71/1.86 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.71/1.86 2.71/1.86 2.71/1.86 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1). 2.71/1.86 2.71/1.86 (0) CpxIntTrs 2.71/1.86 (1) Koat Proof [FINISHED, 580 ms] 2.71/1.86 (2) BOUNDS(1, n^1) 2.71/1.86 2.71/1.86 2.71/1.86 ---------------------------------------- 2.71/1.86 2.71/1.86 (0) 2.71/1.86 Obligation: 2.71/1.86 Complexity Int TRS consisting of the following rules: 2.71/1.86 eval_foo_start(v_.0, v_.01, v_3, v_4, v_x, v_y) -> Com_1(eval_foo_bb0_in(v_.0, v_.01, v_3, v_4, v_x, v_y)) :|: TRUE 2.71/1.86 eval_foo_bb0_in(v_.0, v_.01, v_3, v_4, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_x, v_y, v_3, v_4, v_x, v_y)) :|: TRUE 2.71/1.86 eval_foo_bb1_in(v_.0, v_.01, v_3, v_4, v_x, v_y) -> Com_1(eval_foo_bb2_in(v_.0, v_.01, v_3, v_4, v_x, v_y)) :|: v_.0 > v_.01 && v_.01 >= 1 && v_.01 <= 2 2.71/1.86 eval_foo_bb1_in(v_.0, v_.01, v_3, v_4, v_x, v_y) -> Com_1(eval_foo_.critedge_in(v_.0, v_.01, v_3, v_4, v_x, v_y)) :|: v_.0 <= v_.01 2.71/1.86 eval_foo_bb1_in(v_.0, v_.01, v_3, v_4, v_x, v_y) -> Com_1(eval_foo_.critedge_in(v_.0, v_.01, v_3, v_4, v_x, v_y)) :|: v_.01 < 1 2.71/1.86 eval_foo_bb1_in(v_.0, v_.01, v_3, v_4, v_x, v_y) -> Com_1(eval_foo_.critedge_in(v_.0, v_.01, v_3, v_4, v_x, v_y)) :|: v_.01 > 2 2.71/1.86 eval_foo_bb2_in(v_.0, v_.01, v_3, v_4, v_x, v_y) -> Com_1(eval_foo_1(v_.0, v_.01, v_.0 - v_.01, v_4, v_x, v_y)) :|: TRUE 2.71/1.86 eval_foo_1(v_.0, v_.01, v_3, v_4, v_x, v_y) -> Com_2(eval___VERIFIER_nondet_int_start(v_.0, v_.01, v_3, v_4, v_x, v_y), eval_foo_2(v_.0, v_.01, v_3, nondef.0, v_x, v_y)) :|: TRUE 2.71/1.86 eval_foo_2(v_.0, v_.01, v_3, v_4, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_3, v_4, v_3, v_4, v_x, v_y)) :|: TRUE 2.71/1.86 eval_foo_.critedge_in(v_.0, v_.01, v_3, v_4, v_x, v_y) -> Com_1(eval_foo_stop(v_.0, v_.01, v_3, v_4, v_x, v_y)) :|: TRUE 2.71/1.86 2.71/1.86 The start-symbols are:[eval_foo_start_6] 2.71/1.86 2.71/1.86 2.71/1.86 ---------------------------------------- 2.71/1.86 2.71/1.86 (1) Koat Proof (FINISHED) 2.71/1.86 YES(?, 36*ar_1 + 10) 2.71/1.86 2.71/1.86 2.71/1.86 2.71/1.86 Initial complexity problem: 2.71/1.86 2.71/1.86 1: T: 2.71/1.86 2.71/1.86 (Comp: ?, Cost: 1) evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.71/1.86 2.71/1.86 (Comp: ?, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6)) 2.71/1.86 2.71/1.86 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= ar_2 + 1 /\ ar_2 >= 1 /\ 2 >= ar_2 ] 2.71/1.86 2.71/1.86 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_0 ] 2.71/1.86 2.71/1.86 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_2 ] 2.71/1.86 2.71/1.86 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= 3 ] 2.71/1.86 2.71/1.86 (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoo1(ar_0, ar_1, ar_2, ar_3, ar_0 - ar_2, ar_5, ar_6)) 2.71/1.86 2.71/1.86 (Comp: ?, Cost: 1) evalfoo10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.71/1.86 2.71/1.86 (Comp: ?, Cost: 1) evalfoo11(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoo2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_6, ar_6)) 2.71/1.86 2.71/1.86 (Comp: ?, Cost: 1) evalfoo1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_2(evalfoo10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h), evalfoo11(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) 2.71/1.86 2.71/1.86 (Comp: ?, Cost: 1) evalfoo2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) 2.71/1.86 2.71/1.86 (Comp: ?, Cost: 1) evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.71/1.86 2.71/1.86 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ] 2.71/1.86 2.71/1.86 start location: koat_start 2.71/1.86 2.71/1.86 leaf cost: 0 2.71/1.86 2.71/1.86 2.71/1.86 2.71/1.86 Repeatedly propagating knowledge in problem 1 produces the following problem: 2.71/1.86 2.71/1.86 2: T: 2.71/1.86 2.71/1.86 (Comp: 1, Cost: 1) evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.71/1.86 2.71/1.86 (Comp: 1, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6)) 2.71/1.86 2.71/1.86 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= ar_2 + 1 /\ ar_2 >= 1 /\ 2 >= ar_2 ] 2.71/1.86 2.71/1.86 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_0 ] 2.71/1.86 2.71/1.86 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_2 ] 2.71/1.86 2.71/1.86 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= 3 ] 2.71/1.86 2.71/1.86 (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoo1(ar_0, ar_1, ar_2, ar_3, ar_0 - ar_2, ar_5, ar_6)) 2.71/1.86 2.71/1.86 (Comp: ?, Cost: 1) evalfoo10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.71/1.86 2.71/1.86 (Comp: ?, Cost: 1) evalfoo11(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoo2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_6, ar_6)) 2.71/1.86 2.71/1.86 (Comp: ?, Cost: 1) evalfoo1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_2(evalfoo10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h), evalfoo11(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) 2.71/1.86 2.71/1.86 (Comp: ?, Cost: 1) evalfoo2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) 2.71/1.86
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